Complex dynamics of HIV infection models incorporating T-cell homeostatic proliferation

主讲人：董岳平 华中师范大学副教授

时间：2026年9月20日17：00

地点：徐汇校区三号楼301室

举办单位：数理学院

主讲人介绍：董岳平，华中师范大学副教授，博士生导师。中国数学会生物数学专委会青年委员、中国工业与应用数学会数学生命科学专委会委员。日本静冈大学理学博士，曾在日本东京大学医学部任全职博土后。主要从事生物数学、微分方程和动力系统理论及其在生命医学中的应用研究等。近年来在SIAM J. Appl. Math.、SIAM J. Appl. Dyn. Syst.、Nonlinearity、Am. Nat.、Infect. Dis. Model.、J. Math. Biol.、J. Theor. Biol.、BMJ Open等国际知名SCI期刊上发表学术论文40余篇。先后主持国家自然科学基金青年项目和面上项目、湖北省自然科学基金项目等多项省部级项目。

内容介绍：Recent clinical studies have displayed that the homeostatic proliferation of CD4+ T cell is one of the major drivers of HIV infection and persistence, since the replenishment of target T cells offers more chance of being infected with free HIV viruses. We propose and study several HIV infection models with T-cell homeostatic proliferation, which can induce very rich dynamics, such as saddle-node bifurcations, supercritical and subcritical Hopf bifurcations, saddle node bifurcations related to periodic orbits. Besides, we fit the dynamical model to clinical data on long-term CD4+ T cell counts before and after treatment. Our findings emphasize the critical role of T-cell homeostatic proliferation in HIV infection and persistence despite treatment, providing valuable insights for understanding disease progression and developing more effective therapies, potentially towards eradication.